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Finding the Fourth Proportional to 217.35, 300.11 and 151.94

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Solution

The fourth proportional to 217.35, 300.11 and 151.94 is: 209.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.35 : 300.11 = 151.94 : x
  2. Step 2: Convert to fraction form
    217.35/300.11 = 151.94/x
  3. Step 3: Cross multiply
    217.35x = 300.11 × 151.94
  4. Step 4: Simplify right side
    217.35x = 45,598.70
  5. Step 5: Solve for x
    x = 45,598.70/217.35
  6. Step 6: Final answer
    x = 209.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.